The toy manufacturer in the prototype example is going to release two new toys in the market. These are the magical pink wand and the ultimate wooden sword that contributes 30 pesos and 50 pesos respectively in the total profit. The daily production input and the available supply is given below. Wood Labor 3 Plastic Magical pink wand Ultimate wooden sword Availability 2 120 2 180 50 The manufacturer wants to determine the daily production schedule that will give them the maximum profit. i. Formulate the LP model for the problem ii. Solve the problem graphicall iii. If the objective function is changed to Max z = c,x, +c,x,, determine the range of 1 that will keep the computed optimal solution to remain optimal. Give a logical or answer.
The toy manufacturer in the prototype example is going to release two new toys in the market. These are the magical pink wand and the ultimate wooden sword that contributes 30 pesos and 50 pesos respectively in the total profit. The daily production input and the available supply is given below. Wood Labor 3 Plastic Magical pink wand Ultimate wooden sword Availability 2 120 2 180 50 The manufacturer wants to determine the daily production schedule that will give them the maximum profit. i. Formulate the LP model for the problem ii. Solve the problem graphicall iii. If the objective function is changed to Max z = c,x, +c,x,, determine the range of 1 that will keep the computed optimal solution to remain optimal. Give a logical or answer.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Transcribed Image Text:The toy manufacturer in the prototype example is going to release two new toys in the market. These
are the magical pink wand and the ultimate wooden sword that contributes 30 pesos and 50 pesos
respectively in the total profit. The daily production input and the available supply is given below.
Plastic
Wood
Labor
Magical pink wand
3
Ultimate wooden sword
2
2
Availability
50
120
180
The manufacturer wants to determine the daily production schedule that will give them the maximum
profit.
i. Formulate the LP model for the problem
ii. Solve the problem graphicall
iii. If the objective function is changed to Max z =c,x, +c,x2, determine the range of 2
|that will keep the computed optimal solution to remain optimal. Give a logical
answer.
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